Greta has risk aversion of A = 4 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 5% per year, with a standard deviation of 17%. The hedge fund risk premium is estimated at 10% with a standard deviation of 32% The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. What should be Greta's capital allocation? (Do not round your intermediate calculations. Round your answers to 2 decimal places.) S&P Hedge Risk-free asset % % %

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Greta has risk aversion of A = 4 when applied to return on wealth over
a one-year horizon. She is pondering two portfolios, the S&P 500 and a
hedge fund, as well as a number of one-year strategies. (All rates are
annual and continuously compounded.) The S&P 500 risk premium is
estimated at 5% per year, with a standard deviation of 17%. The hedge
fund risk premium is estimated at 10% with a standard deviation of 32%.
The returns on both of these portfolios in any particular year are
uncorrelated with its own returns in other years. They are also
uncorrelated with the returns of the other portfolio in other years. The
hedge fund claims the correlation coefficient between the annual
return on the S&P 500 and the hedge fund return in the same year is
zero, but Greta is not fully convinced by this claim.
What should be Greta's capital allocation? (Do not round your
in mediate calculations. Round your answers to 2 decimal places.)
S&P
Hedge
Risk-free asset
%
%
%
Transcribed Image Text:Greta has risk aversion of A = 4 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 5% per year, with a standard deviation of 17%. The hedge fund risk premium is estimated at 10% with a standard deviation of 32%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. What should be Greta's capital allocation? (Do not round your in mediate calculations. Round your answers to 2 decimal places.) S&P Hedge Risk-free asset % % %
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